JP2014526939A - How to provide a selection of recommended golf balls - Google Patents

Abstract

  Methods are provided for evaluating and providing a selection of recommended golf balls, golf ball structures, and golf ball structure component configurations. Such a method may involve obtaining or measuring spin measurements for a plurality of golf clubs for each of a plurality of golf balls. A linear relationship can be used to determine the spin gradient for each of the golf balls based on the set of spin measurements associated with the golf ball. A selection of the recommended golf ball, golf ball structure, or ball structure component configuration can then be made based on which golf ball has a greater spin gradient.

Description

CROSS REFERENCE TO RELATED APPLICATIONS This application is based on United States Patent Law Section 119 (e), and is filed on US Provisional Patent Application No. 61 / 526,660 entitled “Methods For Selecting Golf Balls” filed on August 23, 2011. Claim the priority of the book. The above US provisional patent application is a reference to this application.

  The origin of the game of golf was to hit a ball of processed wood in the course. Over time, a ball covered with a leather cover with feathers ("feather ball") will perform better than a wooden ball, and then a rubber-based gutta-percha ball ("rubber ball") will perform better. It was replaced by them. More than a century ago, balls with a wound rubber core and dimple cover became dominant in golf sports. In more modern times, advances in various components of the golf ball structure, such as the number of pieces or layers, the materials incorporated therein, and the structure and number of dimples, have led to improved performance characteristics. Such progress has addressed the question of "what is needed to improve a golf ball".

  One challenge with producing better golf balls is to improve the performance characteristics of the golf ball from tee to hole. For example, various components of the golf ball structure can be modified to produce a ball with a low tendency to spin. By reducing spin, an increase in distance can be achieved when the ball is hit with a driver on a tee or the like, which can improve a golfer's long game (ie, shots that are relatively far from the hole). However, balls that are less prone to spin will also be closer to the green after being hit with a wedge and the ability of the ball to stop suddenly will be impaired, resulting in a short game for golfers (ie, shots that are relatively close to the hole) ). On the other hand, by changing various components of the golf ball structure to produce a ball with a higher spin tendency, it is possible to stop the ball suddenly when it is hit with a wedge. The game can be improved, but at the same time the golf ball's trajectory is shortened by increasing spin on the ball, and the golfer's long game can be compromised.

  Only when struck from the tee, not just near or on the green, but in a way that improves performance "in the whole bag" or at all distances from the hole, ie golfers long games and shorts There is a need to change various golf ball structural components in such a way as to improve both the game. Therefore, to assist in the processing and manufacture of golf balls that improve golfer performance across the full range of golf clubs, the choice between various golf balls or between various golf ball structures is evaluated, There is a need to provide. Similarly, performance characteristics specific to a particular golfer's swing need to be evaluated to help provide a selection of recommended golf balls that can improve the performance of the golfer across the full range of golf clubs. It is said that.

  In one aspect, the present invention includes a method for providing a selection of recommended golf balls. In one step, the method includes: (a) a first set of measurements for the first golf ball that includes at least one ball spin measurement for each of a plurality of golf clubs having different club lofts; and (b ) Obtaining a second set of measurements for the second golf ball, including at least one ball spin measurement for each of the plurality of golf clubs. In another step, the method includes determining (a) a first spin gradient based on the first set of measurements and (b) a second spin gradient based on the second set of measurements. In another step, the method includes providing a selection of recommended golf balls between the first golf ball and the second golf ball. The recommended golf ball is the first golf ball if the first spin gradient is greater than the second spin gradient, and the recommended golf ball is the first golf ball if the first spin gradient is less than or equal to the second spin gradient. 2 golf balls.

  In another aspect, the present invention includes a method for providing a selection of recommended golf ball structures. In one step, the method includes (a) at least one ball spin measurement for each of a first golf club having a first club loft and a second golf club having a second club loft. A first set of measurements using a first golf ball having a one-ball structure, and (b) at least one ball spin measurement for each of the first golf club and the second golf club. Obtaining a second set of measurements using a second golf ball having a two-ball structure. In another step, the method includes determining (a) a first linear relationship between the first set of measurements and (b) a second linear relationship between the second set of measurements. Including. In another step, the method includes providing a selection of recommended golf ball structures between the first golf ball structure and the second golf ball structure. The recommended golf ball structure is the first ball structure when the gradient of the first linear relationship is greater than the gradient of the second linear relationship, and the recommended golf ball structure has a gradient of the first linear relationship When the gradient is equal to or less than the second linear relationship, the second ball structure is used, and the first ball structure is different from the second ball structure.

  In another aspect, the invention includes a method for providing a selection of recommended golf ball structural component configurations. In one step, the method includes (a) a first ball spin when a first golf ball is hit with a first golf club having a first club loft, and (b) a second club loft. A second ball spin when hitting the first golf ball with the second golf club, (c) a third ball spin when hitting the second golf ball with the first golf club, and (d ) Measuring a fourth ball spin when the second golf ball is hit with the second golf club. In another step, the method includes: (a) (1) a ratio of the difference between the second ball spin and the first ball spin to (2) the ratio of the difference between the second club loft and the first club loft. A first spin gradient for the first golf ball, and (b) (1) a difference between a fourth ball spin and a third ball spin (2) a second club loft and a first club loft And determining a second spin gradient for the second golf ball that includes a ratio of the difference to the second golf ball. In another step, the method includes providing a selection of recommended golf ball structural component configurations based at least on the first spin gradient, the second spin gradient, and the spin gradient criteria. The configuration of the ball structure component of the second golf ball is different from the configuration of the ball structure component of the first golf ball.

  In another aspect, the present invention includes golf ball performance characterization for use in a golf ball fitting system. The golf ball performance characterization includes at least a linear relationship between the first ball spin measurement, the second ball spin measurement, and the third ball spin measurement. The first ball spin measurement is obtained when a golf ball is hit with a first golf club having a first club loft. The second ball spin measurement is obtained when the golf ball is hit with a second golf club having a second club loft that is larger than the first club loft. A third ball spin measurement is obtained when a golf ball is hit with a third golf club having a third club loft that is larger than the second club loft.

  In another aspect, the present invention includes a method for providing a selection of recommended golf balls. In one step, the method includes (a) a first set of ball spin measurements from a player's hit by hitting an object multiple times with a first various loft, and (b) a second Including obtaining a second set of ball spin measurements from a reference hit by hitting the object multiple times with various lofts. In another step, the method determines (a) a first linear relationship between the first set of ball spin measurements and (b) a second linear relationship between the second set of ball spin measurements. Including that. In another step, the method includes selecting a recommended golf ball between the first golf ball and the second golf ball based on at least a first linear relationship, a second linear relationship, and a spin gradient criterion. Including providing. The configuration of the ball structure component of the second golf ball is different from the configuration of the ball structure component of the first golf ball.

  In another aspect, the present invention includes a method for providing a selection of recommended golf balls. In one step, the method comprises: (a) a first ball spin measurement when a first golf ball is hit with a first golf club having a first club loft; (b) a second club loft. A second ball spin measurement when the first golf ball is struck with a second golf club having (c) a second golf ball with a third golf club having a third club loft. 3 and (d) obtaining a fourth ball spin measurement for hitting a second golf ball with a fourth golf club having a fourth club loft. In another step, the method includes (a) (1) the difference between the second ball spin measurement and the first ball spin measurement, and (2) the difference between the second club loft and the first club loft. A first spin gradient for the first golf ball, including a ratio, and (b) (1) a difference between a fourth ball spin measurement and a third ball spin measurement, and (2) a fourth club loft and a first Determining a second spin gradient for the second golf ball that includes a ratio of a difference from three club lofts. In another step, the method includes providing a selection of recommended golf balls based at least on the first spin gradient, the second spin gradient, and the spin gradient criteria. The configuration of the ball structure component of the second golf ball is different from the configuration of the ball structure component of the first golf ball.

  Other systems, methods, features and advantages of the present invention will be or will be apparent to those skilled in the art upon consideration of the following drawings and detailed description. It is intended that all such additional systems, methods, features and advantages be included in this description and this summary, be within the scope of the invention and be protected by the following claims.

  The invention can be better understood with reference to the following drawings and description. It is emphasized that the components in the figures are not necessarily to scale, but instead illustrate the principles of the invention. Moreover, like reference numerals in the figures indicate corresponding parts in each figure.

FIG. 1 shows a golfer using a first embodiment of a golf ball with a first embodiment of a golf club. FIG. 2 shows a golfer using the first embodiment of the golf ball with the second embodiment of the golf club. FIG. 3 shows a golfer using a second embodiment of a golf ball with a first embodiment of a golf club. FIG. 4 shows a golfer using the second embodiment of the golf ball in conjunction with the second embodiment of the golf club. FIG. 5 shows a first embodiment of a golf club. FIG. 6 shows a second embodiment of the golf club. FIG. 7 illustrates another embodiment of a golf ball having a different layer configuration. FIG. 8 illustrates another embodiment of a golf ball having a different layer configuration. FIG. 9 shows another embodiment of a golf ball having a different layer configuration. FIG. 10 shows another embodiment of a golf ball having a different dimple configuration. FIG. 11 illustrates another embodiment of a golf ball having a different dimple configuration. FIG. 12 shows another embodiment of a golf ball having a different dimple configuration. FIG. 13 illustrates another embodiment of a golf ball having a different cover layer thickness configuration. FIG. 14 shows another embodiment of a golf ball having a different cover layer thickness configuration. FIG. 15 illustrates another embodiment of a golf ball having a different cover layer thickness configuration. FIG. 16 shows a set of data points corresponding to the first embodiment of the golf ball and the gradient therebetween in the x / y coordinate system. FIG. 17 shows another embodiment of the x / y coordinate system. FIG. 18 shows another embodiment of the x / y coordinate system. FIG. 19 shows another embodiment of the x / y coordinate system. FIG. 20 shows a set of data points associated with the first embodiment of the golf ball and the second embodiment of the golf ball, and the gradient therebetween. FIG. 21 illustrates a set of data points associated with another embodiment of a golf ball. FIG. 22 shows a set of data points associated with another embodiment of a golf ball. FIG. 23 illustrates a set of data points associated with another embodiment of a golf ball. FIG. 24 illustrates a set of data points associated with another embodiment of a golf ball. FIG. 25 shows a set of data points associated with another alternative embodiment of a golf ball. FIG. 26 illustrates yet another set of data points associated with yet another embodiment of a golf ball. FIG. 27 illustrates yet another set of data points associated with yet another embodiment of a golf ball.

  A method for providing a selection of recommended golf balls is described below. Also described are methods for providing a selection of recommended golf ball structure as well as methods for providing a selection of recommended golf ball structure component configurations.

  FIG. 1 shows a golfer 1000 playing a golf game on a fairway 1060 of a golf course 1050. The golfer 1000 is still away from the hole and made a golf shot by swinging and hitting the first golf ball 1100 with the first golf club 1200. Since the golfer 1000 is still playing in the early part of the fairway 1060, the first golf club 1200 is either a driver such as wood, or primarily assists the golfer 1000 to achieve maximum distance as a result of the swing. It may be another club designed to do so. As shown in FIG. 5, the first golf club 1200 has a first club loft 1202 that represents the angle of the surface of the club with respect to a vertical line (ie, a line parallel to the club shaft). The first club loft 1202 of the first golf club 1200 is a low range golf club loft that helps to maximize the distance a golfer achieves when hitting a golf ball.

  Returning to FIG. 1, during the swing, the golfer 1000 aimed at the first target spot 1210. Due to the hit from the swing, the first golf ball 1100 was sent along the first trajectory 1220 and collided with the fairway 1060 at the first contact spot 1230 near the first target spot 1210. After striking the first contact spot 1230, the first golf ball 1100 may bounce or roll some distance from the first contact spot 1230 and stop at the first stop spot 1240.

  Next, FIG. 2 shows the golfer 1000 at the point where play has progressed close to the hole 1080. The golfer 1000 is now on the green 1070 and made another golf shot by swinging and hitting the first golf ball 1100 with the second golf club 1300. Because the golfer 1000 is playing green 1070 and playing near the hole 1080, the second golf club 1300 is a relatively short and controlled wedge, such as a pitching wedge, or primarily as a result of the golfer 1000 swinging. It may be another club designed to help achieve the desired distance. As shown in FIG. 6, the second golf club 1300 has a second club loft 1302 that represents a corner of the surface of the club with respect to a vertical line (ie, a line parallel to the club shaft). The second club loft 1302 is a high range golf club loft that helps to more precisely control the final position of the golf ball that the golfer achieves upon striking.

  Returning to FIG. 2, during the swing, the golfer 1000 was aiming for a second target spot 1310 near the hall 1080. Due to the hit from the swing, the first golf ball 1100 was sent along the second trajectory 1320 and collided with the green 1070 at the second contact spot 1330 near the second target spot 1310. After impacting the second contact spot 1330, the first golf ball 1100 may bounce or roll some distance from the second contact spot 1330 and stop at the second stop spot 1340.

  Generally speaking, golf shots can be affected by various golf shot parameters. Some golf shot parameters can be swing parameters and can be influenced by the mechanism or characteristics of the golfer's swing. Other golf shot parameters can be launch condition parameters and can be influenced by the golfer's swing mechanism and the structure of the golf ball. Additional golf shot parameters can be ball flight parameters and can be influenced by the structure and environmental conditions of the golf ball. Various golf shot parameters can be influenced by the structure of the golf club used in making a golf shot.

  Some swing parameters may include swing speed, club trajectory and angle of attack. The swing speed can be the club head speed. The club trajectory may include the club head position, face angle or loft, which is static at a particular time (eg moment of impact or contact between the ball and the club) and static or reference position (E.g., measurement of loft and lie angles relative to a golf club shaft in a vertical plane). The club trajectory may include, for example, the trajectory or direction of the club head represented by a multidimensional vector. The angle of attack may be a multi-dimensional angle of the plane defined by the vertical reference direction and the intended or target direction.

  The launch condition parameters include launch angle, ball speed or initial speed, ball spin or initial direction. The ball spin may be a ball backspin (ie a spin about the horizontal axis) or a ball side spin (ie a backspin angle with respect to a horizontal plane). The initial direction may be an angle relative to the intended target direction, such as an off-line angle. Further, the initial angle may be a launch condition parameter that combines the launch angle and the off-line angle. The launch condition parameter may include an acoustic parameter such as a quality of sound when the ball is hit.

  Ball flight parameters may include parameters related to the ball structure, such as the number of dimples, dimple configuration and moment of inertia. Ball flight parameters may include parameters related to environmental conditions such as wind characteristics (ie wind speed and direction), elevation, relative humidity and weather conditions (ie rain, sleet, hail or snow). Other golf shot parameters may include carry or flight distance, rolling distance and total distance.

  Returning to FIGS. 1 and 2, the first trajectory 1220 and the second trajectory 1320 may be characterized by golf shot parameters such as initial angle, ball back spin, ball side spin, and initial velocity. Each of these parameters can be influenced by the golfer's choice of golf club. For example, the ball backspin can be relatively low for a ball struck by a club such as the first golf club 1200. Second, the relatively low ballback spin can help the golfer maximize the distance achieved at the time of hitting by providing a relatively straighter trajectory. Alternatively, the ball backspin can be relatively high for a ball hit with a club, such as the second golf club 1300. Second, the relatively high ball backspin can help the golfer to more precisely control the final position of the golf ball that is achieved upon striking by countering the tendency of the ball to bounce or roll from the contact spot.

  At the same time, the structure of the golf ball can affect the trajectory of the golf ball upon impact, such as the shape of the trajectory or the distance that the trajectory extends. The structure of the golf ball can also affect the manner in which the golf ball bounces or rolls between a contact spot where the ball hits the ground and a stop spot where the ball stops. Thus, the structure of the first golf ball 1100 is such that the first trajectory 1220, the manner in which the first golf ball 1100 bounces or rolls between the first contact spot 1230 and the first stop spot 1240, or It can affect both. Similarly, the structure of the first golf ball 1100 includes a second trajectory 1320, a manner in which the first golf ball 1100 bounces or rolls between the second contact spot 1330 and the second stop spot 1340, Or it can affect both.

  In general, a particular golf ball structure includes a number of components. The ball structure component involved is one or more core portions such as, for example, the number of pieces or layers in the golf ball, the golf ball cover material, the hardness of the golf ball cover material, the inner core, the outer core, or both As well as the materials used for the intermediate layer, such as one or more mantle layers, the number of dimples in the golf ball cover, and the thickness of the golf ball cover. Other ball structural components can affect the golf ball's physical response to external stimuli, for example, golf ball dimple shape, pattern or other configuration, aesthetic considerations such as color or indicia, etc. Other aspects of the effecting structure may be included.

  Each piece or layer of the structure used for the golf ball cover portion, as well as the core portion of the golf ball, may have physical properties such as thickness and is formed from any of a variety of materials. May be. Each material used to form a piece or layer of structure may then have physical properties such as density and hardness, for example. Moreover, the physical properties of the material within a particular piece or layer of the structure may vary within that piece or layer. The physical properties of the piece or layer material may not be constant throughout the piece or layer, but may vary, for example, as a function of the distance of each point in the material from the center of the golf ball. That is, the physical properties may have a gradient within the material.

  In general, for any arrangement of layers not specifically described herein, any layer may be made from any material suitable for the purpose. Suitable known materials for use in golf balls include thermosetting materials such as rubber, styrene butadiene, polybutadiene, isoprene, polyisoprene, certain polyurethanes and transisoprene. Known materials also include thermoplastics such as ionomer resins, polyamides or polyesters and thermoplastic polyurethane elastomers. Suitable materials include polyurea compositions, as well as other materials.

  For example, the cover layer should be strong and resistant to scratches while being soft enough to allow the golf club to easily spin the ball. Thermoplastic polyurethanes (TPU) and thermoset polyurethanes are therefore suitable for the cover layer, and highly neutralized polymers and other ionomers are known. Thermoplastic polyurethanes that are not particularly scratch resistant can be treated to cure the surface, such as by surface treatments or other treatments, before, during and / or after forming the layer. Suitable ionomers include E.I. I. Included are Surlyn® members of the ionomer polymer from DuPont de Nemours and Company and lotek® members of the product from Exxon Mobil Chemical Corporation. In addition, other conventional materials for the cover such as balata may be used.

  Each of the golf ball structural components is manifested with respect to the nature of one or more portions of the golf ball. 1 and 2, when a golf shot is made by a golfer 1000 swinging and striking a golf ball, one or more components of the golf ball structure may be a golf ball trajectory, or a ball may be grounded. This can affect the manner in which the golf ball bounces or rolls between the contact spot that impacts the ball and the stop spot where the ball stops.

  Thus, the one or more ball structure components can affect one or more golf shot parameters such as initial angle, ball back spin, ball side spin, and initial speed. In addition, the particular configuration of the golf ball structural component can, on the one hand, affect the trajectory of the golf ball when hitting with a club having a low loft angle, and on the other hand when hitting a club having a high loft angle. It can affect the trajectory of a golf ball.

  FIG. 3 shows a golfer 1000 playing golf on a fairway 1060 of a golf course 1050. Similar to FIG. 1, the golfer 1000 took a golf shot with the first golf club 1200 far from the hole. However, in FIG. 3, the golfer 1000 swung in the second golf ball 2100 having a structure different from that of the first golf ball 1100.

  In particular, the configuration of one or more foundational ball structure components of the second golf ball 2100 is different from the configuration of similar foundation ball structure components of the first golf ball 1100. As a result, the second golf ball 2100 may function differently from the first golf ball 1100 that functions by being given substantially the same swing. Differences in the configuration of the underlying ball structure components between the second golf ball 2100 and the first golf ball 2200 affect golf shot parameters such as initial angle, ball back spin, ball side spin, and initial velocity. obtain.

  In FIG. 3, the golfer 1000 swings the golf club 1200 substantially in the same manner as in FIG. 1 and aims at the first target spot 1210. However, due to the difference in ball structure components between the second golf ball 2100 and the first golf ball 1100, the first trajectory 1220 of the second golf ball 2100 extends at a longer distance. As a result, the first contact spot 1230 and the first stop spot 1240 when using the second golf ball 2100 are the same as the first contact spot 1230 and the first stop spot 1240 when using the first golf ball 1100. It is farther away from the golfer 1000 than the stop spot 1240. Since the golfer 1000 swung the first golf club 1200 in FIG. 3 in substantially the same manner as in FIG. 1, these differences are related to golf shot parameters such as initial angle, ball back spin, ball side spin, and initial speed. This is due to the difference in the basic ball structure components between the second golf ball 2100 and the first golf ball 1100 that has affected.

  For example, a difference in one or more ball structural components of the second golf ball 2100 can result in a ball backspin of the second golf ball 2100 resulting from the swing of the first golf club 1200, which is Compared to the ball back spin of the first golf ball 1100 resulting from substantially the same swing of the first golf club 1200. Such reduced ball backspin of the second golf ball 2100 due to differences in ball structural components is achieved when the golfer hits the second golf ball 2100 with the first golf club 1200. Can help to maximize distance.

  In FIG. 4, the golfer 1000 is playing golf on the green 1070 that is the fairway 1060 of the golf course 1050. Similar to FIG. 2, the golfer 1000 was on the green 1070 near the hole 1080 and made a golf shot with the second golf club 1300. However, in FIG. 4, the golfer 1000 swings on the second golf ball 2100.

  Golfer 1000 swings in FIG. 4 with second golf club 1300 substantially as in FIG. 2 and aims at second target spot 1310 and hits second golf ball 2100 during the swing. Sometimes, a second trajectory 1320 was achieved substantially similarly. However, due to the difference in ball structure components between the second golf ball 2100 and the first golf ball 1100, the second golf is between the second contact spot 1330 and the second stop spot 1340. The manner in which the ball 2100 has moved is different from the manner in which the first golf ball 1100 has moved between the second contact spot 1330 and the second stop spot 1340. Since golfer 1000 swung second golf club 1300 in FIG. 4 in substantially the same manner as FIG. 2, these differences affect golf shot parameters such as initial angle, ball back spin, ball side spin, and initial speed. Due to the difference in the underlying ball structure components between the second golf ball 2100 and the first golf ball 1100 that exerted the same.

  For example, the difference in one or more ball structural components of the second golf ball 2100 may be compared to the ball back spin of the first golf ball 1100 resulting from substantially the same swing as the second golf club 1300. Ball back spin of the second golf ball 2100 resulting from the increased swing of the second golf club 1300 may occur. Increased ball back spin of the second golf ball 2100 due to differences in ball structural components is achieved when the golfer hits the second golf ball 2100 with the second golf club 1300. Can be used to more accurately control the final position of the.

  In addition, the different configurations of the ball structure components of the second golf ball 2100 that can reduce ball back spin when hit with the first golf club 1200 are different when the ball is hit with the second golf club 1300. Spin can be advantageously increased. In other words, the difference in configuration between the ball structural components of two golf balls can improve the results obtained from swings with two or more golf clubs. Changes in any configuration of the multiple ball structure components of the first golf ball 1100 may thus result in improved performance on the golf course with more than one golf club.

  Any of the numerous ball structural components of the first golf ball 1100 may be modified to alter the performance of the first golf ball 1100 when hit with the golf clubs 1200 and 1300. As shown in FIG. 7, the first golf ball 1100 may be configured to have a three-piece or three-layer structure including a first layer 1151, a second layer 1152, and a third layer 1153. . However, the configuration of the first golf ball 1100 may be modified so that the golf ball 1100 has more pieces or layers, or fewer pieces or layers. For example, as shown in FIG. 8, the first golf ball 1100 has a four-piece or four-layer structure including a first layer 1151, a second layer 1152, a third layer 1153, and a fourth layer 1154. It may be configured to have. Alternatively, as shown in FIG. 9, the first golf ball 1100 may be configured to have a two-piece or two-layer structure that includes only the first layer 1151 and the second layer 1152.

  Alternatively, FIG. 10 shows the first golf ball 1100 as having a configuration in which the first layer 1151 and the cover layer have a first number of dimples 1155. However, the configuration of the first golf ball 1100 may be changed so that the golf ball 1100 has more or fewer dimples. As in the example shown in FIG. 11, the first golf ball 1100 may be configured to have a second number of dimples 1155 that is greater than the first number of dimples 1155 of FIG. In contrast, as in the example shown in FIG. 12, the first golf ball 1100 may be configured to have a third number of dimples 1155 that is less than the first number of dimples 1155.

  At the same time, FIG. 13 shows the golf ball 1100 as having a configuration in which the first layer 1151 and the cover layer have a first thickness. In other configurations, the first layer 1151 may be modified to have other thicknesses. In the example shown in FIG. 14, the first layer 1151 is configured to have a second thickness that is greater than the first thickness. In another example shown in FIG. 15, the first layer 1151 is configured to have a third thickness that is less than the first thickness.

  Other ball structure components of the golf ball 1100 may have other configurations as well. For example, the configuration of the material incorporated into any of the layers 1151 to 1154 of the golf ball 1100 shown in FIGS. 7 to 9 may be changed. In addition, the hardness of the material incorporated into any of the layers 1151-1154 of the golf ball 1100 may be changed.

  Accordingly, the configuration of the various ball structure components of the first golf ball 1100 may be modified to reach the ball structure components of the second golf ball 1200 as described above. Thereafter, the influence on the performance due to the change in the configuration of the first golf ball 1100 may be evaluated. In such an evaluation, the first data point 151 may be collected by striking the first golf ball 1100 with the first golf club 1200 and the second data point is the second golf club. It may be collected by hitting a first golf ball 1100 at 1300. Similarly, the third data point 153 may be collected by striking the second golf ball 2100 with the first golf club 1200 and the fourth data point is the second golf club 1300 with the second The golf ball 2100 may be collected by hitting it.

  As shown in FIGS. 20-24, data points 151-154 each have at least two values and are visible in a binary coordinate system, such as x / y coordinate system 100 having x-axis 110 and y-axis 120. May also be expressed. The first value of data points 151-154 may represent the club loft associated with each particular strike, while the second value of data points 151-154 is the golf ball associated with each particular strike. Can represent backspin. In the x / y coordinate system 100, the first value of the data points 151-154 can establish the x coordinate of the data points 151-154 in the x / y coordinate system 100 and the second of the data points 151-154. May establish the y coordinate of data points 151-154 within the x / y coordinate system 100.

  Thus, as described above and as shown in FIGS. 20-24, the first values of data points 151 and 152 are (a) the first club loft 1202 and (b) the second club loft 1302, respectively. While the second values of data points 151 and 152 are respectively (a) a ball back spin value obtained from hitting the first golf ball 1100 with the first golf club 1200, and (b) The ball back spin value obtained by hitting the first golf ball 1100 with the second golf club 1300 is represented. Similarly, the first values of data points 153 and 154 represent (a) a first club loft 1202 and (b) a second club loft 1302, respectively, while the second values of data points 153 and 154, respectively. The values are: (a) the ball back spin value obtained from hitting the second golf ball 2100 with the first golf club 1200; and (b) the second golf ball 2100 with the second golf club 1300, respectively. Represents the ball back spin value obtained from hitting.

  Also, the first line may connect data points 151 and 152 to each other, and the second line may connect data points 153 and 154 to each other. Each of the first and second lines is the ratio of the difference between a set of two points along the line and the difference between the x values of two points in the same set (ie along the line). It may have a “spin gradient” that is a ratio of “rise” to “progress”. For example, the first spin slope 201 of the line connecting the first data point 151 to the second data point is (1) between the y value of the second data point 152 and the y value of the first data point 151. And (2) the difference between the x value of the second data point 152 and the x value of the first data point 151. The first spin gradient 201 may thus be the spin gradient associated with the first golf ball 1100. Similarly, the second spin gradient 202 can be the spin gradient associated with the second golf ball 2100.

  The x and y values associated with each data point may be objectively measured values, or a reduced or simplified representation of objectively measured values. For example, as shown in FIG. 16, the x value is a club loft measured in degrees, while the y value is a ballback spin measured in RPM (rotations per minute).

  In contrast, as shown in FIG. 17, the x value is a reduced or simplified representation of the objectively measured value. In particular, the x-axis has an x value where data point 151 obtained by hitting a golf ball with first golf club 1100 is represented as “D”, while golf ball with second golf club 1200 Data points 152 obtained by hitting were normalized to have an x value represented as “W”. In such a reduced or simplified display, the difference between the x values of data points 151 and 152 may optionally be set to “1” and the line connecting data points 151 and 152 The spin gradient 201 decreases to the difference between the y values of data points 151 and 152 (ie ballback spin). That is, the spin gradient 201 decreases to a normalized difference between the ballback spin values of the data points 151 and 152.

Alternatively, as shown in FIG. 18, the x values of data points 151 and 152 are objectively measured values, while the y values of data points 151 and 152 are the lowest y values (ie, data points 151 y) and normalized along the y-axis 120 as a multiple of the number labeled _SD . Next, _SD can be a ball backspin associated with the first golf club 1200, which can be a driver. Such reduced whether or in simplified view, y values of the data points 151 is reduced to 1S _D, whereas, y values of the data points 152 is reduced to about 2.25S _D. That is, the spin gradient 201 is the ratio of the difference in the normalized multiple of _SD units between the data points 151 and 152 and the difference between the x values of the data points 151 and 152 (ie, club loft). Become.

Further, the x and y values may be reduced or simplified. For example, as shown in FIG. 19, the reduction or simplification of the x value of FIG. 17 is illustrated such that the spin gradient 201 is reduced to a normalized multiple of _SD between data points 151 and 152. Combine with reduction or simplification of 18 y values.

  Different ball backs when struck by the first golf club 1200, the second golf club 1300 or both due to different configurations of the ball structural components between the first golf ball 1100 and the second golf ball 1300 Different responses such as spin measurements may be obtained. In various configurations of the ball structure component, the ball backspin of the second golf ball 2100 when hit by either the first golf club 1200 or the second golf club 1300 is the first golf ball 1100. It may be higher or lower than the ball back spin.

  For example, as shown in FIG. 20, the ball back spin value for data points 153 and 154 corresponding to second golf ball 1200 is the ball back for data points 151 and 152 corresponding to first golf ball 1100. Higher than spin value. That is, the second golf ball 2100 is measured as having a higher ball back spin than the first golf ball 1200 when struck with the first golf club 1200 or the second golf club 1300. In contrast, as shown in FIG. 21, the second golf ball 2100 has a lower ball back spin than the first golf ball 1100 when struck with the first golf club 1200 or the second golf club 1300. As measured. Thus, as shown in FIGS. 20 and 21, the second spin gradient 202 and the first spin gradient 201 are substantially similar.

  In other configurations, the ball backspin of the second golf ball 2100 when the ball is hit with either the first golf club 1200 or the second golf club 1300 (but not both), the first golf ball 1100 The ball back spin may be different. For example, as shown in FIG. 22, the ballback spin value for data point 153 is lower than the ballback spin value for data point 151, while the ballback spin value for data points 152 and 154 is substantially The same as above.

  Alternatively, as shown in FIG. 23, the ballback spin value for data point 154 is higher than the ballback spin value for data point 152, while the ballback spin value for data points 151 and 153 is substantially Are identical. Accordingly, as shown in FIGS. 22 and 23, the second spin gradient 202 is higher than the first spin gradient 201. A ball configuration that produces a ballback spin value that varies for either the first golf club 1200 or the second golf club 1300 (but not both) (ie, does not change the ballback spin value throughout the bag) In some areas, it can be useful for golfers who need more spin than others.

  In yet a further configuration, the second golf ball 2100 may have a ball back spin lower than that of the first golf ball 1100 when hit with the first golf club 1200, but the second golf club 1300 Can be higher than the ball back spin of the first golf ball 1100. For example, as shown in FIG. 24, the ballback spin value for data point 153 is lower than the ballback spin value for data point 151 and the ballback spin value for data point 154 is Higher than the ball back spin value. Therefore, the second spin gradient 202 is higher than the first spin gradient 201.

  Data points as described above may include composite measurements. For example, the y value (ie, ballback spin) may be statistically derived from a desired set of measurements, such as repeated measurements of ballback spin performed under substantially identical conditions. Values that may be statistically derived from such a set of measurements may include a mean value, a median value, or a standard deviation, including a calculated average or geometric mean. As shown in FIG. 25, for example, both data points 151 and 152 include a composite measurement that represents the average value of a set of measurements having a substantially normal distribution.

  Further, as described above, the spin gradient may be determined from data points associated with two different club loft values, but is determined from a linear relationship between data points associated with three or more different club loft values. Also good. Once such a linear relationship is determined, the slope can be determined based on the linear relationship. For example, as shown in FIG. 26, the four data points 151, 152, 153, and 153 corresponding to the ballback spin measurement have four club lofts with 10 degrees, 20 degrees, 30 degrees, and 40 degrees, respectively. Obtained using a golf club. Standard statistical methods such as linear regression (least squares) may be used to determine the linear relationship (ie, linear equation) that best fits the data points 151-154. Once such a linear relationship is determined, the gradient 201 can be the gradient of the corresponding linear equation.

  Any number of these data points can be used to determine the best-fit straight line. As shown in FIG. 27, the eight data points 151-158 corresponding to the ball back spin measurement were obtained using eight golf clubs having a club loft of 10 degrees to 45 degrees increasing by 5 degrees. Is. A linear relationship that best fits the data points 151-158 is determined, and once such a linear relationship is determined, the slope 201 may be the slope of the corresponding linear equation.

  In addition to characterizing golf ball performance based on linear spin gradients, golf ball performance may be characterized based on spin as a general function of club loft. In such another characterization, spin as a function of club loft may be represented as a non-linear function in the x / y coordinate system 100. Some non-linear spin functions may be considered to have multiple ranges of club lofts, and within each range of club lofts, the measured ball spin is a separate linear relationship (various corresponding linear equations And so on).

  The club loft may vary among various sets of golf clubs. For example, a particular numerically indicated golf club (ie, a 9 iron) in one set of golf clubs may have the same numerical name (ie, another 9 iron) in a different set of golf clubs. ) May have a different club loft. Thus, the spin slope is determined separately using two different sets of golf clubs and two different sets of golf clubs, even if there is a difference in club loft between the two different sets of various golf clubs. It should be compared.

  The determination of the spin gradient described above may be used in a method that provides selection of recommended golf balls. In such a method, a first spin gradient 201 is calculated for the first golf ball 1100, a second spin gradient 202 is calculated for the second golf ball 1200, and the recommended golf ball is the first golf ball Based on the spin gradient 201 and the second spin gradient 202, the first golf ball 1100 or the second golf ball 1200 may be used. For example, if the first spin gradient 201 is higher than the second spin gradient 202, the recommended golf ball is the first golf ball 1100, while the second spin gradient 202 is higher than the first spin gradient 201. The recommended golf ball may be the second golf ball 1200.

  20-24, in calculating various spin gradients, data points 151-154 are obtained by directly measuring ball back spin when hitting golf balls 1100 and 1200 with various golf clubs. Also good. However, the data points 151-154 may be obtained in other ways. For example, data points 151-154 may be measured in advance and may serve as numerical information to a method that provides a selection of recommended golf balls.

  As described above, the data points 151 to 154 may be obtained under substantially the same conditions. For example, both the set of data points 151 and 152, and the set of data points 153 and 154 may be collected mechanically or mechanically based or otherwise automated by golf ball hitting. . In another method, a set of data points is obtained from a player hitting a reference golf ball, and the other set may be a reference set of measurements corresponding to the reference golf ball. The reference golf ball may be a preselected golf ball used in collecting data points, or may be a golf ball of a predetermined structure, such as a USGA calibration or control ball. .

  For example, for the purpose of custom fitting a specific player to a specific golf ball based on spin gradient, data points 151 and 152 may be a reference set of measurements corresponding to the reference golf ball, while data points 153 and 154 may be derived from the player hitting the reference golf ball. In such a method, if the first spin gradient 201 is higher than the second spin gradient 202, the recommended golf ball can be the first golf ball, but the second spin gradient 202 is the first spin gradient 201. If higher, the recommended golf ball may be a second golf ball that is different from the first golf ball. The selection of the recommended golf ball is then better for the first golf ball or the second golf ball for the player based on the relationship between the reference spin gradient and the spin gradient determined from the player's hitting measurements. It may reflect suitability.

  Alternatively, some players may prefer a golf ball with a lower spin gradient. Such preferences may be related to factors such as the player's experience level and the player's favorable ball performance characteristics. When custom fitting such a player to a particular golf ball based on the spin gradient, if the first spin gradient 201 is lower than the second spin gradient 202, the recommended golf ball is the first golf ball. It is possible, but if the second spin gradient 202 is lower than the first spin gradient 201, the recommended golf ball may be the second golf ball.

  In addition to being used in a method that provides a selection of recommended golf balls, the determination of spin slope may be used in a manner that provides a selection of recommended golf ball structures among a plurality of golf ball structures. For example, a first golf ball may have a first ball structure and a second golf ball may have a second different ball structure. A set of spin measurements may be obtained for each golf ball, based on which the spin gradient can be determined for each golf ball. Then, if the spin gradient corresponding to the first golf ball is higher than the spin gradient corresponding to the second golf ball, the recommended golf ball structure is the first ball structure or corresponds to the second golf ball. If the spin gradient is higher than the spin gradient associated with the first golf ball, the recommended golf ball structure may be the second ball structure.

  Moreover, the determination of spin gradient may be used in a manner that provides a selection of recommended configurations of one or more specific ball structure components. For example, a first golf ball may have a first configuration of a particular ball structure component and a second golf ball has a second different configuration of the ball structure component. Also good. A set of spin measurements may be obtained for each golf ball, based on which the spin gradient can be determined for each golf ball. Then, if the spin gradient corresponding to the first golf ball is higher than the spin gradient corresponding to the second golf ball, the recommended configuration of the particular ball structure component is the first configuration of the ball structure component. Or if the spin gradient corresponding to the second golf ball is higher than the spin gradient corresponding to the first golf ball, the recommended configuration of the particular ball structure component is the second configuration of the ball structure component possible.

  In some methods, another spin gradient criterion may be used to provide a choice between a plurality of golf balls, golf ball structures or ball structure component configurations. As described above, whether the first golf ball (or the golf ball structure of the first golf ball or the structure of the ball structure component corresponding to the first golf ball) is higher than the spin gradient of the second golf ball. Or if it results in a greater spin gradient, the recommended golf ball may be the first golf ball. In contrast, under another spin gradient criterion, the first golf ball (or the golf ball structure of the first golf ball or the configuration of the ball structure component corresponding to the first golf ball) The recommended golf ball may be the first golf ball if it is less than or resulting in a lower spin gradient of the golf ball. In general, slope is a measure or measure of the amount of “slope” of a line relative to the horizontal axis. Thus, when comparing the relative measurements of spin gradients described herein, a higher or larger gradient is a gradient that exhibits a greater or greater degree of slope relative to horizontal. Similarly, a lesser or lesser slope is a slope that exhibits a small or small degree of slope relative to the horizontal.

  Further, the method for providing a selection of recommended golf ball structures may include manufacturing the golf ball according to the recommended golf ball structure. Similarly, a method for providing a selection of recommended configurations of a golf ball structural component may include manufacturing a golf ball according to the recommended configuration of the golf ball structural component.

  The above method may be used to obtain measurements of golf shot parameters other than ball spin and may be used to determine a slope with respect to those other golf shot parameters. For example, some methods provide measurements related to parameters such as flight distance, carry distance or total distance. Then, in such a method, (a) obtaining a set of distance measurements, each set containing measurements corresponding to a plurality of golf clubs, and (b) determining a distance gradient for each set of distance measurements. The distance gradient associated with that parameter may be determined. The distance slope is then the ratio of the difference between the distance measurements between two or more points within each set of ranges to the club loft difference.

  In addition, the method may be used to evaluate various golf club performance characteristics, such as spin gradient characteristics for various golf clubs. As an example, the above method may be used to obtain measurements of golf shot parameters, such as ball backspin for a plurality of golf clubs, to compare with each other using a reference golf ball. The ball back spin measurements obtained for each of the plurality of golf clubs are then used to determine a spin gradient for each club and based on a comparison of the spin gradients, a recommended golf club among the plurality of golf clubs. May be used to provide a selection of.

  Use of a calibration ball may be incorporated into the method. The calibration ball or the control ball may be a ball that meets the specifications specified by the United States Golf Association (USGA) for a particular year. The calibration ball may be used to compare characteristics of multiple golf swing sources, including multiple golf clubs or golf swings performed by golfers and golf swings performed by machines. The characteristics that are compared may thus include various swing parameters, launch condition parameters, and other golf shot parameters.

  For example, the calibration ball is used under controlled test conditions, eg, laboratory conditions, or used while obtaining a set of ball backspin measurements on multiple golf clubs in tests using indoor test ranges. Also good. Ballback spin measurements obtained while ensuring that the various test conditions are substantially the same are within the scope of standard industrial techniques and test tolerances. Based on the ballback spin measurement, a benchmark linear relationship between measurements can be determined for the calibration ball.

  A ball backspin measurement can then be similarly performed on one or more other balls, with substantially the same controlled test conditions, and a benchmark linear relationship between the measurements for each of these balls can be determined. . The benchmark linear relationship slope for the other balls may then be normalized and expressed with respect to the benchmark linear relationship slope for the calibration ball. For example, if the linear relationship is a straight line, the gradient for each of the other balls may be a value normalized to the gradient for the calibration ball. The gradient for the calibration ball can thus be a baseline gradient to which the spin gradients of other balls can be compared.

  For example, in FIG. 20, data points 151 and 152 may correspond to a calibration ball and data points 153 and 154 may correspond to another measured ball. Thus, the first spin gradient 201 can be a benchmark linear relationship for the calibration ball, and the second spin gradient 202 can be a linear relationship for the other balls. The first spin gradient 201 can be a baseline gradient having a value of one. A second spin gradient 202 that is substantially the same as the first spin gradient 201 may have a value that is substantially the same as the baseline gradient, ie, a value of one. Similarly, in FIG. 21, the first spin gradient 201 becomes a baseline gradient having a value of 1, and the second spin gradient 202 may have substantially the same value.

  In contrast, as shown in FIGS. 22, 23 and 24, respectively, the ballback spin value for data point 151 is higher than the ballback spin value for data point 153 (eg, when hit with a driver) Or, the ballback spin value for data point 152 may be lower (eg, hit with a wedge) than the ballback spin value for data point 154, or both. Thus, the first spin gradient 201 may be a baseline gradient having a value of 1, and the second spin gradient 202 may have a value greater than 1 normalized with respect to the first spin gradient 201. .

  If you have a baseline slope for the benchmark linear relationship for the calibration ball, as well as a benchmark linear relationship for the other balls, use the calibration ball based on the golf swing performed by a particular golfer outside the controlled test conditions. Another set of ballback spin measurements can be obtained, and a golfer-based linear relationship between measurements can be determined for the calibration ball. The linear relationship based on the golfer may be expressed as a numerical value that is normalized to the baseline slope of the benchmark linear relationship for the calibration ball.

  The baseline linear relationship baseline slope may then be compared to a golfer based linear relationship slope. Based on such comparisons and taking into account other golf shot parameters that may characterize golf shots by golfers, such as distance, as well as other factors including cost, one of the non-calibrated balls is considered to be a golfer's golf shot. One or more parameters associated with can be recommended to complete or maximize.

  A method as described above is a co-pending, co-owned US patent entitled “Method and System for Golf Ball Fitting Analysis” filed July 7, 2009, which is incorporated herein by reference. , The system disclosed in US patent application Ser. No. 12 / 498,364, and simultaneous, entitled “Method And System For Developing A Golf Ball Construction” filed July 26, 2012, which is incorporated herein by reference. A pending co-owned US patent may now be implemented by a computer-based ball fitting system, such as the system disclosed in US patent application Ser. No. 13559345.

  Such systems include, but are not limited to, desktop computers, portable computers, tablet computers, smartphones, and / or processors and / or displays configured to allow users to view and / or communicate information. A computer that may include any other device including: The computer may then include a CPU, storage, display and data transfer connection.

  A computer-based ball fitting system includes one or more automated measurement devices for obtaining measurements related to golf shot parameter values, and devices for determining spin gradients and other relationships between golf shot parameter measurements. May be included. Such a system may include a device for comparing spin gradients and linear relationships, and an output device to provide a selection of recommended golf balls among a plurality of golf balls based on such comparisons, For example, it may include a printing press or a display. When performing the method as described above, these systems may (1) obtain measurements using an automated measurement device, and (2) use a decision device to determine the spin gradient. Well, (3) a comparison device may be used to compare spin gradients, and (4) an output device may be used to provide a selection of recommended golf balls among the golf balls.

  While various embodiments of the present invention have been described, it is intended by those skilled in the art that this description is intended to be illustrative rather than limiting and that many more embodiments and implementations are possible that are within the scope of the invention. It will be obvious. Accordingly, the invention is not limited except as by the appended claims and their equivalents. Various modifications and changes may be made within the scope of the appended claims.

The method as described above, the present application of reference, entitled of July 7, 2009 entitled "Method and System for Golf Ball Fitting Analysis", in accordance with the share of co-pending US patent invention Akira Saisho system is disclosed, and entitled of the present reference and made July 26, 2012, filed with the "Method and system for Developing a Golf Ball Construction ", US Patent application Publication No. 20130190904 according to the share of co-pending It can be implemented by a computer-based ball fitting system such as the system disclosed in the specification.

Claims (43)

A method for providing a selection of recommended golf balls, comprising:
(I) (a) a first set of measurements for a first golf ball including at least one ball spin measurement for each of a plurality of golf clubs having various club lofts; and (b) the plurality of the plurality Obtaining a second set of measurements for a second golf ball including at least one ball spin measurement for each of the golf clubs;
(Ii) determining (a) a first spin gradient based on the first set of measurements and (b) a spin gradient based on the second set of measurements;
(Iii) providing a selection of recommended golf balls between the first golf ball and the second golf ball;
Including
The recommended golf ball is the first golf ball when the first spin gradient is greater than the second spin gradient, and the recommended golf ball has the first spin gradient of the second spin gradient. A method of being the second golf ball when below a gradient.   The first set of measurements is obtained by measuring the hit of the first golf ball, and the second set of measurements is obtained by measuring the hit of the second golf ball. The method of claim 1.   The method of claim 1, wherein a first club loft of the plurality of club lofts corresponds to a driver and a second club loft of the plurality of club lofts corresponds to a wedge.   The method of claim 1, wherein one of the first set of measurements and the second set of measurements comprises a composite measurement.   The method of claim 1, wherein at least a portion of one of the first spin gradient and the second spin gradient is based on a normalized difference between measurements.   The method of claim 1, wherein at least a portion of one of the first spin gradient and the second spin gradient is based on a normalized measurement.   The first spin gradient is based on a regression line from the first set of measurements, and the second spin gradient is based on a regression line from the second set of measurements. Method.   The first golf ball has a first configuration of a ball structure component, the second golf ball has a second configuration of the ball structure component, and the first configuration is The method of claim 1, wherein the method is different from the second configuration.   The ball structural component is one of the number of pieces or layers, the golf ball cover material, the hardness of the golf ball cover material, the number of dimples in the golf ball cover, and the thickness of the golf ball cover. The method according to claim 8. A method for providing a selection of recommended golf ball structures comprising:
(I) (a) a first ball structure comprising at least one ball spin measurement for each of a first golf club having a first club loft and a second golf club having a second club loft. A first set of measurements using a first golf ball having: and (b) at least one ball spin measurement for each of the first golf club and the second golf club. Obtaining a second set of measurements using a second golf ball having a ball structure of:
(Ii) determining (a) a first linear relationship between the first set of measurements and (b) a second linear relationship between the second set of measurements;
(Iii) providing a selection of recommended golf ball structures between the first golf ball structure and the second golf ball structure;
Including
The recommended golf ball structure is the first ball structure when the gradient of the first linear relationship is greater than the gradient of the second linear relationship, and the recommended golf ball structure is the first straight line A method wherein the slope of the relationship is less than or equal to the slope of the second linear relationship is the second ball structure, and the first ball structure is different from the second ball structure.   The method of claim 10, wherein one of the first set of measurements and the second set of measurements comprises a composite measurement.   The method of claim 10, wherein one of the first golf club and the second golf club is a driver and the other is a wedge.   11. The first linear relationship is based on a regression line from the first set of measurements, and the second linear relationship is based on a regression line from the second set of measurements. Method.   The first golf ball has a first configuration of a ball structure component, the second golf ball has a second configuration of a ball structure component, and the first configuration is the The method of claim 10, wherein the method is different from the second configuration.   The ball structural component is one of the number of pieces or layers, the golf ball cover material, the hardness of the golf ball cover material, the number of dimples in the golf ball cover, and the thickness of the golf ball cover. The method according to claim 14.   The method of claim 10, further comprising manufacturing a golf ball according to the recommended golf ball structure. A method for providing a selection of configurations of recommended golf ball structural components comprising:
(I) (a) a first ball spin when hitting a first golf ball with a first golf club having a first club loft, (b) a second golf club having a second club loft And (c) a third ball spin when the second golf ball is hit with the first golf club, and (d) the second spin when the first golf ball is hit with the first golf club. Measuring a fourth ball spin when hitting the second golf ball with two golf clubs;
(Ii) (a) (1) including a ratio of a difference between the second ball spin and the first ball spin (2) a difference between the second club loft and the first club loft; A first spin gradient for the first golf ball; (b) (1) a difference between the fourth ball spin and the third ball spin; (2) the second club loft and the first. Determining a second spin gradient for the second golf ball that includes a ratio of a difference to a club loft of
(Iii) providing a selection of recommended golf ball structure component configurations based at least on the first spin gradient, the second spin gradient, and a spin gradient criterion;
Including
The configuration of the ball structure component of the second golf ball is different from the configuration of the ball structure component of the first golf ball.   The method of claim 17, wherein one of the first golf club and the second golf club is a driver and the other is a wedge.   The spin gradient criterion is which of the first spin gradient and the second spin gradient is a larger spin gradient, and when the first spin gradient is a larger spin gradient, The method of claim 17, wherein a recommended golf ball is the first golf ball.   The ball structural component is one of a number of pieces or layers, a golf ball cover material, a hardness of the golf ball cover material, a number of dimples in the golf ball cover, and a thickness of the golf ball cover The method of claim 17, wherein   18. The method of claim 17, further comprising manufacturing a golf ball according to a configuration of the recommended golf ball's ball structural components.   A golf ball performance characterization for use in a golf ball fitting system, comprising at least a linear relationship between a first ball spin measurement, a second ball spin measurement, and a third ball spin measurement, A ball spin measurement is obtained when a golf ball is hit with a first golf club having a first club loft, and the second ball spin measurement is greater than the first club loft. Obtained by hitting the golf ball with a second golf club having the third ball spin measurement with a third golf club having a third club loft that is greater than the second club loft. Determination of golf ball performance characteristics obtained when a golf ball is hit.   23. The golf ball performance characterization of claim 22, wherein one of the first ball spin measurement, the second ball spin measurement, and the third ball spin measurement includes a composite measurement.   23. The golf ball performance characteristics determination of claim 22, wherein the first golf club is a driver, the second golf club is an iron, and the third golf club is a wedge.   23. The golf ball performance characteristic determination of claim 22, wherein the linear relationship is based on regression lines from the first ball spin measurement, the second ball spin measurement, and the third ball spin measurement.   The golf ball performance characterization of claim 22, wherein at least a portion of the linear relationship is based on a normalized difference between measurements.   23. The golf ball performance characterization of claim 22, wherein at least a portion of the linear relationship is based on normalized measurements. A method for providing a selection of recommended golf balls, comprising:
(I) (a) a first set of ball spin measurements from a player's hit by hitting an object multiple times while having a first various loft, and (b) having a second various loft And obtaining a second set of ball spin measurements from a reference hit by hitting the object multiple times while
(Ii) determining (a) a first linear relationship between a first set of ball spin measurements and (b) a second linear relationship between a second set of ball spin measurements;
(Iii) providing a selection of recommended golf balls between the first golf ball and the second golf ball based at least on the first linear relationship, the second linear relationship and a spin gradient criterion; When,
Including
The configuration of the ball structure component of the second golf ball is different from the configuration of the ball structure component of the first golf ball.   30. The method of claim 28, wherein one of the first set of measurements and the second set of measurements comprises a composite measurement.   30. The method of claim 28, wherein the second set of measurements is obtained by measuring a golf ball spin upon machine-based hitting.   30. The method of claim 28, wherein the second set of measurements is pre-measured.   30. The method of claim 28, wherein one of hitting the first multi-time object and hitting the second multi-time object includes a plurality of golf clubs.   The driver hits the first object out of hitting the first object a plurality of times and the second object out of hitting the object a plurality of times. 30. The method of claim 28, wherein is a wedge.   The ball structural component is one of the number of pieces or layers, the golf ball cover material, the hardness of the golf ball cover material, the number of dimples in the golf ball cover, and the thickness of the golf ball cover. 30. The method of claim 28.   30. The method of claim 28, wherein at least a portion of one of the first linear relationship and the second linear relationship is based on a normalized difference between measurements.   30. The method of claim 28, wherein at least a portion of one of the first linear relationship and the second linear relationship is based on a normalized measurement.   30. The method of claim 28, wherein the first linear relationship is based on a regression line of a first set of measurements.   If the spin gradient criterion is which of the first linear relationship and the second linear relationship is a larger linear relationship, and the first linear relationship is a larger linear relationship; 30. The method of claim 28, wherein the recommended golf ball is the first golf ball. A method for providing a selection of recommended golf balls, comprising:
(I) (a) a first ball spin measurement when the first golf ball is hit with a first golf club having a first club loft; (b) a second golf having a second club loft. A second ball spin measurement when the club hits the first golf ball, and (c) a third ball spin related to hitting the second golf ball with a third golf club having a third club loft. Obtaining a measurement, and (d) a fourth ball spin measurement related to hitting the second golf ball with a fourth golf club having a fourth club loft;
(Ii) (a) (1) The difference between the second ball spin measurement and the first ball spin measurement, and (2) the ratio of the difference between the second club loft and the first club loft. A first spin gradient associated with the first golf ball, and (b) (1) a difference between the fourth ball spin measurement and the third ball spin measurement. (2) the fourth club loft. And a second spin gradient for the second golf ball, including a ratio of a difference between the second golf ball and the third club loft;
(Iii) providing a selection of recommended golf balls based at least on the first spin gradient, the second spin gradient, and a spin gradient criterion;
Including
The configuration of the ball structure component of the second golf ball is different from the configuration of the ball structure component of the first golf ball.   40. The method of claim 39, wherein both the first golf club and the third golf club are drivers and both the second golf club and the fourth golf club are wedges.   40. The method of claim 39, wherein the first club loft is substantially identical to the third club loft and the second club loft is substantially identical to the fourth club loft.   If the spin gradient criterion is which of the first spin gradient and the second spin gradient is a larger spin gradient, and the first spin gradient is a larger spin gradient, the recommendation 40. The method of claim 39, wherein a golf ball is the first golf ball.   The ball structural component is one of the number of pieces or layers, the golf ball cover material, the hardness of the golf ball cover material, the number of dimples in the golf ball cover, and the thickness of the golf ball cover. 40. The method of claim 39.

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